133992 has 24 divisors (see below), whose sum is σ = 363090. Its totient is φ = 44640.

The previous prime is 133981. The next prime is 133993. The reversal of 133992 is 299331.

It can be written as a sum of positive squares in only one way, i.e., 133956 + 36 = 366^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 133992.

It is not an unprimeable number, because it can be changed into a prime (133993) by changing a digit.

133992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 859 + ... + 1002.

2¹³³⁹⁹² is an apocalyptic number.

133992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133992 is an abundant number, since it is smaller than the sum of its proper divisors (229098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133992 is a wasteful number, since it uses less digits than its factorization.

133992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1866 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 133992 is about 366.0491770241. The cubic root of 133992 is about 51.1712810946.

It can be divided in two parts, 1339 and 92, that added together give a triangular number (1431 = T₅₃).

The spelling of 133992 in words is "one hundred thirty-three thousand, nine hundred ninety-two".